Network and Linear Programming Assignment
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Questions and Answers

What is the minimum cost assigned to Person 1 for Task D?

  • 2 (correct)
  • 4
  • 5
  • 9

Which task has the highest cost associated with Person 2?

  • B
  • C
  • A (correct)
  • D

If linear programming is used to minimize costs, which task is most cost-effective for Person 3?

  • A
  • D
  • B (correct)
  • C

What is the total cost if Person 1 is assigned to Task C, Person 2 to Task D, and Person 3 to Task B?

<p>21 (B)</p> Signup and view all the answers

Which of the following statements about the costs for tasks is true?

<p>Person 1 has the lowest overall cost for completing any task. (C)</p> Signup and view all the answers

Flashcards

Assignment Problem

A problem that involves assigning tasks to people or machines to minimize costs or maximize efficiency.

Network Formulation

A visual representation of the assignment problem using nodes and edges to show the relationships between tasks and people.

Linear Programming Formulation

A mathematical representation of the assignment problem using variables and equations to determine the optimal assignment.

Cost Matrix

A table displaying the cost or time associated with assigning each person to each task.

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Optimal Assignment

The combination of tasks and people that minimizes the overall cost or maximizes efficiency.

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Study Notes

Task Details

  • Assignment requires a network and linear programming formulation
  • Follow APA 6th edition format

Data Table

  • Task Assignment table shows costs/times for different persons (A, B, C, D)
    • Person A: 9, 12, 11
    • Person B: 5, 6, 6
    • Person C: 4, 3, 5
    • Person D: 2, 5, 7
    • Data represents a cost/time associated with which person takes on the task

Assignment Structure

  • Title page
  • Body: use space for detailed answer to the question

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Description

This assignment focuses on formulating network and linear programming problems using a task assignment table with specific costs and times for different individuals. Students are required to follow the APA 6th edition format for their submission, ensuring clarity and proper academic structure throughout the document.

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